Question

How many solutions of equation 5x +1 =x-3 are there:
and represent them:
(i) on number line
(ii) In Cartesian plane.​

Answer 1

Answer:

only one solution

x=-1

Answer 2

Answer:

Only one solution of equation $5x+1=x-3$ exists.

Step-by-step explanation:

Step 1 of 3

Consider the equation as follows:

$5x+1=x-3$

Subtracting $x$ from the the sides.

⇒ $5x+1-x=x-3-x$

⇒ $4x+1=-3$

Subtracting the number $1$ from both the sides.

⇒ $4x+1-1=-3-1$

⇒ $4x=-4$

Dividing both the sides by $4$.

⇒ $\frac{4x}{4} =-\frac{4}{4}$

⇒ $x=-1$

Therefore, only one solution exists for the equation $5x+1=x-3$.

Step 2 of 3

On a number line, $-1$ is present to the left side of the zero.

Representation of $x=-1$ is shown in the figure.

Step 3 of 3

The cartesian plane is a two-dimensional coordinate plane which is formed by the intersection of the x-axis and y-axis.

$x=-1$ is a line parallel to the $y-$axis.

Representation of $x=-1$ on a cartesian plane is shown in the figure.

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